Publication:
Fractional calculus analysis: investigating Drinfeld-Sokolov-Wilson system and Harry Dym equations via meshless procedures

Simple item page
dc.citedby4
dc.contributor.authorKhan M.N.en_US
dc.contributor.authorAhmad I.en_US
dc.contributor.authorShakeel M.en_US
dc.contributor.authorJan R.en_US
dc.contributor.authorid57205304990en_US
dc.contributor.authorid57220824630en_US
dc.contributor.authorid57219867187en_US
dc.contributor.authorid57205596279en_US
dc.date.accessioned2025-03-03T07:47:21Z
dc.date.available2025-03-03T07:47:21Z
dc.date.issued2024
dc.description.abstractIn this study, we present two meshless schemes, namely the radial basis function (RBF) method and the polynomial method, for the numerical investigation of the time-fractional Harry Dym equation and the Drinfeld-Sokolov-Wilson system. In both methods, the temporal derivatives are estimated using the Caputo operator, while the spatial derivatives are approximated either through radial basis functions or polynomials. Additionally, a collocation approach is employed to convert the system of equations into a system of linear equations that is easier to solve. The accuracy of the methods is assessed by calculating the L� error norm, and the outcomes are displayed through tables and figures. The simulation results indicate that both methods exhibit strong performance in handling the fractional partial differential equations (PDEs) under investigation. ? 2024 the Author(s), licensee AIMS Press.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.3934/mmc.2024008
dc.identifier.epage100
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85190239350
dc.identifier.spage86
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85190239350&doi=10.3934%2fmmc.2024008&partnerID=40&md5=96a25b76e49d6108d11938219ab4a333
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/37087
dc.identifier.volume4
dc.pagecount14
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofAll Open Access; Gold Open Access
dc.sourceScopus
dc.sourcetitleMathematical Modelling and Control
dc.titleFractional calculus analysis: investigating Drinfeld-Sokolov-Wilson system and Harry Dym equations via meshless proceduresen_US
dc.typeArticleen_US
dspace.entity.typePublication
Files
Collections
SCOPUS